Weyl's law for Neumann Schr\"odinger operators on H\"older domains
Abstract
We review recent results on the semiclassical behaviour of Schr\"odinger operators with Neumann boundary conditions. In this setting, the validity of Weyl's law requires additional conditions on the potential. We will explain the techniques needed to control the number of bound states near the boundary, thus leading to universal estimates on the number of bound states.
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